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1061328928 = 251123337389
BaseRepresentation
bin111111010000101…
…001100000100000
32201222002002120211
4333100221200200
54133200011203
6253151543504
735205101302
oct7720514040
92658062524
101061328928
114a5102150
1225752ab94
1313bb60caa
14a0d53972
1563297c6d
hex3f429820

1061328928 has 96 divisors (see below), whose sum is σ = 2391742080. Its totient is φ = 458895360.

The previous prime is 1061328913. The next prime is 1061328929. The reversal of 1061328928 is 8298231601.

It is a super-2 number, since 2×10613289282 = 2252838186819258368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061328929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2728158 + ... + 2728546.

It is an arithmetic number, because the mean of its divisors is an integer number (24913980).

Almost surely, 21061328928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061328928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195871040).

1061328928 is an abundant number, since it is smaller than the sum of its proper divisors (1330413152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1061328928 is a wasteful number, since it uses less digits than its factorization.

1061328928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 1061328928 is about 32578.0436490591. The cubic root of 1061328928 is about 1020.0387426012.

The spelling of 1061328928 in words is "one billion, sixty-one million, three hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 337 352 368 389 506 674 736 778 1012 1348 1556 2024 2696 3112 3707 4048 4279 5392 6224 7414 7751 8096 8558 8947 10784 12448 14828 15502 17116 17894 29656 31004 34232 35788 59312 62008 68464 71576 85261 98417 118624 124016 131093 136928 143152 170522 196834 248032 262186 286304 341044 393668 524372 682088 787336 1048744 1364176 1442023 1574672 2097488 2728352 2884046 3015139 3149344 4194976 5768092 6030278 11536184 12060556 23072368 24121112 33166529 46144736 48242224 66333058 96484448 132666116 265332232 530664464 1061328928